10742304 has 48 divisors (see below), whose sum is σ = 28425600. Its totient is φ = 3552000.

The previous prime is 10742299. The next prime is 10742309. The reversal of 10742304 is 40324701.

It is an interprime number because it is at equal distance from previous prime (10742299) and next prime (10742309).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10742309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13929 + ... + 14679.

It is an arithmetic number, because the mean of its divisors is an integer number (592200).

Almost surely, 2^10742304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212800).

10742304 is an abundant number, since it is smaller than the sum of its proper divisors (17683296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10742304 is a wasteful number, since it uses less digits than its factorization.

10742304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 10742304 is about 3277.5454230262. The cubic root of 10742304 is about 220.6475685998.

The spelling of 10742304 in words is "ten million, seven hundred forty-two thousand, three hundred four".